Replace the desktop video path with OWE

The desktop background no longer plays videos. OWE owns video
backgrounds, and the shell layer stays empty behind one. The shell keeps
stills, which OWE hands back to it.

Remove the desktop video pause plumbing that only existed to stop an
unseen player: the lock, idle, and battery service lookups, the
per-output fullscreen check, the first-screen audio opt-in, and the audio
output in BackgroundVideo. The lock screen keeps its own silent playback.

Update the background tests, the manual, and the package note.

shell/plugins/background/Background.qml

@@ -1,5 +1,4 @@
 import Quickshell
-import Quickshell.Hyprland
 import Quickshell.Io
 import Quickshell.Wayland
 import QtQuick
@@ -28,43 +27,6 @@ Item {
   property string pendingShellRaw: ""
   property real revealProgress: 1
 
-  // Injected by the first-party service loader; used to reach the lock and idle
-  // services so playback can stop whenever nothing can see the wallpaper.
-  property var shell: null
-
-  // When the OWE wallpaper engine is running, it owns video backgrounds. This
-  // plugin keeps stills, which OWE hands back to it, and the lock screen keeps
-  // its own playback. The desktop video path and its pause policy stay as the
-  // fallback for systems without OWE.
-  property bool oweActive: false
-
-  Process {
-    id: oweStatusProc
-    command: ["bash", "-c", "test -S \"${XDG_RUNTIME_DIR:-/run/user/$(id -u)}/owe/owed.sock\""]
-    onExited: root.oweActive = (exitCode === 0)
-  }
-
-  Timer {
-    id: oweStatusTimer
-    interval: 5000
-    repeat: true
-    running: true
-    onTriggered: if (!oweStatusProc.running) oweStatusProc.running = true
-  }
-
-  // Stop a video wallpaper's decoding whenever it is covered. Qt's FFmpeg
-  // engine drives its own clock, so an unseen player keeps decoding until it
-  // is told not to — a locked laptop would otherwise decode until it died.
-  readonly property var lockService: shell && shell.services ? shell.firstPartyServiceFor("omarchy.lock") : null
-  readonly property var idleService: shell && shell.services ? shell.firstPartyServiceFor("omarchy.idle") : null
-  readonly property var batteryService: shell && shell.services ? shell.firstPartyServiceFor("omarchy.battery") : null
-  readonly property bool lockActive: lockService ? lockService.locked : false
-  readonly property bool screensaverActive: idleService ? idleService.screensaverWindowCount > 0 : false
-  readonly property bool powerSaverActive: batteryService ? batteryService.powerSaverOnBattery : false
-  // A lock or a screensaver covers every output, so it is decided once here.
-  // Fullscreen is decided per output below, because it only covers its own.
-  readonly property bool sessionObscured: lockActive || screensaverActive
-
   function isVideo(path) {
     return Util.isVideoPath(path)
   }
@@ -252,19 +214,6 @@ Item {
       // by pausing playback rather than by parking the layer.
       updatesEnabled: true
 
-      // Pausing every wallpaper for one fullscreen window would freeze the one
-      // still on show next to it, which costs a viewer more than it saves. The
-      // workspace on show here knows whether a fullscreen window covers it,
-      // wherever focus happens to be.
-      readonly property var hyprlandMonitor: Hyprland.monitorFor(modelData)
-      readonly property var visibleWorkspace: hyprlandMonitor ? hyprlandMonitor.activeWorkspace : null
-      readonly property bool fullscreenHere: visibleWorkspace ? visibleWorkspace.hasFullscreen : false
-
-      // A sound track plays from one output only, or every monitor would
-      // layer its own copy of it.
-      readonly property bool firstScreen: Quickshell.screens.length > 0
-        && String(Quickshell.screens[0].name || "") === String(modelData.name || "")
-
       property bool maskReady: false
 
       function maybeStartReveal() {
@@ -282,14 +231,14 @@ Item {
       WlrLayershell.keyboardFocus: WlrKeyboardFocus.None
       exclusionMode: ExclusionMode.Ignore
 
+      // OWE owns video backgrounds. This layer draws stills, and stays empty
+      // behind a video so OWE's own layer shows through.
       BackgroundMedia {
         id: base
         anchors.fill: parent
         path: root.displayedBackground
         reloads: root.displayedReloads
-        deferVideo: root.oweActive
-        playbackEnabled: !root.sessionObscured && !root.powerSaverActive && !panel.fullscreenHere
-        audioEnabled: panel.firstScreen
+        videoEnabled: false
         onReadyChanged: {
           if (ready && root.finishingTransition) {
             root.incomingBackground = ""